9,002,001

3 × 41 × 163 × 449

9,002,001 factors as 3 × 41 × 163 × 449. Its 16 positive divisors give a proper-divisor sum of 3,396,399, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 41 × 163 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,398,400

Proper Divisor Sum 3,396,399

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #9001999 ← → #9002003

Radix Representation

Decimal	9002001
Binary	100010010101110000010001 (24 bits)
Octal	0o42256021
Hexadecimal	0x895C11

Divisor Catalog (16)

1 3 41 123 163 449 489 1,347 6,683 18,409 20,049 55,227 73,187 219,561 3,000,667 9,002,001

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,002,001 27,006,004 13,503,002 6,751,501 20,254,504 10,127,252 5,063,626 2,531,813 7,595,440 3,797,720 1,898,860 949,430 474,715 1,424,146 712,073 2,136,220 1,068,110 534,055 1,602,166 801,083 2,403,250 1,201,625 3,604,876 1,802,438 901,219 2,703,658 1,351,829 4,055,488 2,027,744 1,013,872 506,936 253,468 126,734 63,367 190,102 95,051 285,154 142,577 427,732 213,866 106,933 320,800 160,400 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104

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